Research output: Contribution to journal › Article › peer-review
We obtain several new sharp C-continuity conditions, both necessary and sufficient, for operators of harmonic reflection of functions over boundaries of simple Carathéodory domains in RN. These results are based on a new criterion (also obtained in this paper) for C-continuity of the Poisson operator in the aforesaid domains. As corollaries, we give new sufficient conditions for C-approximability of functions by harmonic polynomials on boundaries of simple Carathéodory domains in RN. Bibliography: 17 titles.
Original language | English |
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Pages (from-to) | 1159-1170 |
Number of pages | 12 |
Journal | Sbornik Mathematics |
Volume | 211 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2020 |
ID: 86668568